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23386968 = 23341117193
BaseRepresentation
bin101100100110…
…1101101011000
31122000011220000
41121031231120
521441340333
62153133000
7402533403
oct131155530
948004800
1023386968
1112223a80
1279ba160
134acac57
14316ad3a
1520be713
hex164db58

23386968 has 160 divisors (see below), whose sum is σ = 76055760. Its totient is φ = 6635520.

The previous prime is 23386907. The next prime is 23386981. The reversal of 23386968 is 86968332.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121080 + ... + 121272.

Almost surely, 223386968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23386968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38027880).

23386968 is an abundant number, since it is smaller than the sum of its proper divisors (52668792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23386968 is a wasteful number, since it uses less digits than its factorization.

23386968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 23386968 is about 4836.0074441630. The cubic root of 23386968 is about 285.9727426058.

The spelling of 23386968 in words is "twenty-three million, three hundred eighty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 81 88 99 102 108 132 136 153 162 187 193 198 204 216 264 297 306 324 374 386 396 408 459 561 579 594 612 648 748 772 792 891 918 1122 1158 1188 1224 1377 1496 1544 1683 1737 1782 1836 2123 2244 2316 2376 2754 3281 3366 3474 3564 3672 4246 4488 4632 5049 5211 5508 6369 6562 6732 6948 7128 8492 9843 10098 10422 11016 12738 13124 13464 13896 15147 15633 16984 19107 19686 20196 20844 25476 26248 29529 30294 31266 36091 38214 39372 40392 41688 50952 57321 59058 60588 62532 72182 76428 78744 88587 108273 114642 118116 121176 125064 144364 152856 171963 177174 216546 229284 236232 265761 288728 324819 343926 354348 433092 458568 531522 649638 687852 708696 866184 974457 1063044 1299276 1375704 1948914 2126088 2598552 2923371 3897828 5846742 7795656 11693484 23386968